1442267400 has 192 divisors, whose sum is σ = 5248414080. Its totient is φ = 320716800.

The previous prime is 1442267383. The next prime is 1442267413. The reversal of 1442267400 is 47622441.

It is a super-3 number, since 3×1442267400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150760 + ... + 160040.

It is an arithmetic number, because the mean of its divisors is an integer number (27335490).

Almost surely, 2^1442267400 is an apocalyptic number.

1442267400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442267400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624207040).

1442267400 is an abundant number, since it is smaller than the sum of its proper divisors (3806146680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1442267400 is a wasteful number, since it uses less digits than its factorization.

1442267400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 1442267400 is about 37977.1957890521. The cubic root of 1442267400 is about 1129.8356197049.

Adding to 1442267400 its reverse (47622441), we get a palindrome (1489889841).

The spelling of 1442267400 in words is "one billion, four hundred forty-two million, two hundred sixty-seven thousand, four hundred".